Fault estimation and fault-tolerant control for descriptor systems via proportional, multiple-integral and derivative observer design

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Fault estimation and fault-tolerant control for descriptor systems via proportional, multiple-integral and derivative observer design

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We present a proportional, multiple-integral and derivative (PMID) observer technique that can simultaneously estimate system states, fault signals and the finite times derivatives of the faults for a descriptor system with input and measurement faults. Furthermore for a descriptor system with input and measurement faults and unknown disturbances (including modelling errors), a robust PMID observer is designed to simultaneously estimate system states, fault signals, the derivatives of the faults, and attenuate disturbances successfully. Fault-tolerant design is another important issue in this study. By using the obtained estimates of states and faults, and linear matrix inequality technique, a fault-tolerant control scheme is addressed, which ensures the closed-loop plant to be internally proper stable with prescribed H∞ performance index even as unbounded faults occur. Finally, a numerical example is given to illustrate the design procedures, and simulations show satisfactory tracking and fault-tolerant control performance.

Inspec keywords: performance index; H∞ control; PI control; closed loop systems; linear matrix inequalities; PD control; observers; fault tolerance

Other keywords: closed-loop plant; H∞ performance index; fault-tolerant control; fault signals; finite times derivatives; robust observer; descriptor systems; fault estimation; linear matrix inequality; proportional multiple-integral derivative observer design

Subjects: Optimal control; Simulation, modelling and identification; Algebra

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